Parallel lines r and s are cut by two transversals, parallel lines t and u.

Lines r and s are crossed by lines t and u to form 16 angles. Clockwise from top left, at the intersection of r and t, the angles are 1, 2, 3, 4; at the intersection of s and t, 5, 6, 7, 8; at the intersection of u and s, 9, 10, 11, 12; at the intersection of r and u, 13, 14, 15, 16.

How many angles are alternate exterior angles with angle 5?

Answer:

2√30

Step-by-step explanation:

Since we have a right triangle, we first need to find the base of the big triangle, which is also the hypo of the smaller triangle.

We apply A²+B²=C²

We plug values in that we have

15²+B²=19²

Simplify

B²=136

B=√136=√2x2x2x2x17=4√17

Now that we have the hypo for the small triangle we apply the same formula to get X

4²+X²=√136

16+X²=136

X²=120

X=√120=√2x2x2x3x5=2√30

Answer:

11.0 mm (3sf)

Step-by-step explanation:

Let length of hypotenuse of smaller triangle be H mm. (this is referring to the only unlabelled length in the picture)

by the Pythagorean theorem (larger triangle),

19² = 15² + H²

H² = 361 - 225

H² = 136

by the Pythagorean theorem (smaller triangle),

H² = 4² + x²

136 = 16 + x²

x² = 120

x = 11.0 mm (3sf)

hope this helps!

Answer:

I don't know. How much he wants I guess.

Step-by-step explanation:

Answer:

PQ= XY

QR=YZ

RP=ZX

/_P= /_X

/_Q= /_Y

/_R= /_Z

The statements that are true for this parabola are:

C. The point (8, 6) is the same distance from the point (4, 3) as it is from the line y = 1.

Option D.

Given the following data:

Mathematically, the standard equation of the directrix line for a parabola is given by: y = a(x - h)² + 2.

Next, we would determine the distance where point (8, 6) lie on the parabola as follows:

y = a(x - h)² + 2

6 = a(8 - 4)² + 2

6 = a(4)² + 2

6 = 16a + 2

16a = 6 - 2

16a = 4

a = 4/16

a = 1/4.

Therefore, the parabolic equation becomes:

y = 1/4(x - 4)² + 2

When x = 2, we have:

y = 1/4(2 - 4)² + 2

y = 1/4(-2)² + 2

y = 1/4(4) + 2

y = 1 + 2

y = 3.

In conlusion, the statements that are true for this parabola in the image above include:

Read more on directrix here: https://brainly.com/question/2346582

#SPJ1

Answer:

The rate of decay is: [tex]2\%[/tex]

Step-by-step explanation:

Exponential functions are modeled by:

[tex]f(x) = a(b)^x[/tex]

Where [tex]a[/tex] is the y-intercept and b is the growth or decay constant. If [tex]b[/tex] is less than one, the function decays. If [tex]b[/tex] is greater than 1, the function grows.

To calculate the percentage, subtract [tex]b[/tex] from 1:

[tex]\% = 1 - b\\\% = 1 - 0.98\\\% = 0.02[/tex]

Multiply the result by 100 to get the percentage.

[tex]0.02 * 100 = 2\%[/tex]

Answer:

15 in

Step-by-step explanation:

Volume / Area = missing length

360 / 24 = 15 in

Answer:

11

9.75

17

14

5

Step-by-step explanation:

q=17-6=11

4n-31=8

4n=31+8=39

n=9.75

2r=35-1=34

r=17

42=8t-5t=3t

t=14

4p=17+3=20

p=5

Answer: 4

Step-by-step explanation:In geometry a quadrilateral is a four-sided polygon, having four edges and four corners. The word is derived from the Latin words quadri, a variant of four, and latus, meaning side

Answer:

Step-by-step explanation:

If the coordinates of A are (3,-6) then the coordinates if A after dilation by a factor 1/3 then the coordinates will be (9,-18).

The dilation is the action or condition of becoming or being made wider, larger,or more open, point or figure. The area of shape will be area/ factor after dilation.

We have been given point A whose coordinates are (3,-6). We have to plot the point A after dilation with factor 1/3,

The x value after dilation will be 3/1/3=9

The y value after dilation will be -6/1/3=-18.

Hence the coordinates of A after dilation are (9,-18).

Learn more about dilation at https://brainly.com/question/3457976

#SPJ2

The money factor that will be used to calculate Bob's payment is 0.00333 if the annual percentage rate is 8% option (c) is correct.

It is defined as the ratio of the annual percentage rate to 2400. Usually, it can be used to calculating the financing costs of a lease with monthly installments.

Bob is thinking about leasing a car, the lease comes with an interest rate of 8%.

The annual percentage rate(APR) = 8%

We know the formula for finding the money factor is given by:

[tex]\rm Money \ factor = \frac{APR}{2400}[/tex]

[tex]\rm Money \ factor = \frac{8}{2400}[/tex]

Money factor = 0.00333

Thus, the money factor that will be used to calculate Bob's payment is 0.00333 if the annual percentage rate is 8% option (c) is correct.

Learn more about the money factor here:

https://brainly.com/question/9583229

Answer:

if im not mistaken, x = 13!!

If the invested price is $ 148,000 for 12 years with a return of $210,160. Then the rate of interest will be 11.83%.

Simple interest is the concept that is used in many companies such as banking, finance, automobile, and so on.

Julie invested $148,000 in a simple interest account.

After 12 years and no additional deposits or withdrawals, the account balance was $210,160.

Then the interest rate will be

[tex]\rm A = \dfrac{PRT}{100}\\[/tex]

We have

A = $ 210,160

P = $148,000

T = 12 years

Then the interest rate will be

[tex]\begin{aligned} 210,160 &= \dfrac{148000 \times R \times 12}{100}\\\\R &= 11.83 \% \end{aligned}[/tex]

More about the simple interest link is given below.

https://brainly.com/question/2793278

#SPJ1

Answer: 3.5%

Step-by-step explanation:

Answer:

the answer is 980 hope this helps

Answer:

no. 1

Step-by-step explanation:

visual brain cuz im on the moon

Answer:

6

Step-by-step explanation:

145-68.50 = 76.50

76.20/12.75 = no of t-shirts she can buy

ans= 6

Answer:

[tex]1 + { \sin} \theta[/tex]

Step-by-step explanation:

[tex] \frac{ { \cos}^{2} \theta}{1 - \sin \theta} \\ \\ = \frac{ { \cos}^{2} \theta}{(1 - \sin \theta)} \times \frac{(1 + \sin \theta)}{(1 + \sin \theta)} \\ \\ = \frac{{ \cos}^{2} \theta(1 + { \sin} \theta)}{(1 - { \sin}^{2} \theta)} \\ \\ = \frac{{ \cancel{ \cos}^{2} \theta}(1 + { \sin} \theta)}{ \cancel{{ \cos}^{2} \theta}} \\ \\ = 1 + { \sin} \theta[/tex]

Let's see

[tex]\\ \rm\Rrightarrow \dfrac{cos^2\theta}{1-sin\theta}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{1-sin^2\theta}{1-sin\theta}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{(1-sin\theta)(1+sin\theta)}{1-sin\theta}[/tex][/tex]

[tex]\\ \rm\Rrightarrow 1+sin\theta[/tex]

Option A

I think it is the last one

The greatest common factors of the expressions 48ab² and 32a²bare,

⇒ 2⁴ ab

The highest number that divides exactly into two more numbers, is called  Greatest common factors.

Given that;

The expressions are,

⇒ 48ab²

⇒ 32a²b

Now,

GCD of 32, 48 = 16

And, GCD of (ab²) and (a²b) = ab

Thus, The greatest common factors of the expressions 48ab² and 32a²b are,

⇒ 16 ab

⇒ 2⁴ ab

Hence, The greatest common factors of the expressions 48ab² and 32a²bare,

⇒ 2⁴ ab

Learn more about the Greatest common factors visit:

https://brainly.com/question/219464

#SPJ7

Using the binomial distribution, it is found that there is a 0.0328 = 3.28% probability that at least 2 of them choose the same quote.

The formula is:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

The parameters are:

In this problem, we have that:

The probability of one quote being chosen at least two times is given by:

[tex]P(X \geq 2) = 1 - P(X < 2)[/tex]

In which:

P(X < 2) = P(X = 0) + P(X = 1).

Then:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{6,0}.(0.05)^{0}.(0.95)^{6} = 0.7351[/tex]

[tex]P(X = 1) = C_{6,1}.(0.05)^{1}.(0.95)^{5} = 0.2321[/tex]

Then:

P(X < 2) = P(X = 0) + P(X = 1) = 0.7351 + 0.2321 = 0.9672.

[tex]P(X \geq 2) = 1 - P(X < 2) = 1 - 0.9672 = 0.0328[/tex]

0.0328 = 3.28% probability that at least 2 of them choose the same quote.

More can be learned about the binomial distribution at https://brainly.com/question/24863377

Answer:

12+y

Step-by-step explanation:

Given,

a=6

b=6

c=y

Perimeter of triangle= sum of all sides of triangle

= 6+6+y

= 12+y

Answer:

Step-by-step explanation:

Perimeter is the length of any closed figure. So for a triangle, the Perimeter is equal to P = a + b + c.

You are told that the triangle is isosceles which means it has 2 equal. You are to presume that the third side is not equal to the other 2.

a=  6

b = 6

c = y

Perimeter = a + b + y

Perimeter = 6 + 6 + y

Perimeter = 12 + y

You cannot go any further. There is no way to reduce it any further.

Answer:

60°

Step-by-step explanation:

3 inch.

the length of the new pieces.

to find the length of the new piece's you'll have to divide 3 by 2.

3/2

= 1.5 inch

so, the length of the new pieces is 1.5 inch.

Answer:

452.39

Step-by-step explanation:

area of circle = [tex]\pi r^{2}[/tex]

area of semi circle is [tex]\pi r^{2}[/tex] divided by 2 (because a semi circle is half of a circle)

diameter = 2 x radius, and radius = half of diameter

so

radius = 24 / 2 = 12

[tex]12^{2}[/tex] x π = 452.389342

to nearest hundredth = 452.39

Hope this helps. If you need any further explanation, let me know!

- profparis

if i helped you, i would appreciate a brainliest :D

Answer:

266.19 in²

Step-by-step explanation:

[tex]\sf Area\:of\:a\:circle=\pi r^2[/tex]  (where r is the radius of the circle)

As a semicircle is half a circle

[tex]\implies \sf Area\:of\:a\:semicircle=\dfrac12\pi r^2[/tex]

From inspection of the diagram, we can see that the diameter (the widest part of a circle) is 24 in.

[tex]\sf Radius\:of\:a\:circle\:(r)=\dfrac12diameter[/tex]

Therefore, the radius of the circle = 24 ÷ 2 = 12 in

Substitute r = 12 into the equation for the area of a semicircle:

[tex]\begin{aligned}\implies \sf Area\:of\:a\:semicircle & =\dfrac12\pi 12^2\\ & =\dfrac12 \cdot \pi \cdot 144\\ & = 72\pi \\ & = 266.19\: \sf in^2 \:(nearest\:hundredth)\end{aligned}[/tex]

The equation, in slope-intercept form, of the line that is perpendicular to the line y – 4 = –two-thirds(x – 6) is y = 3/2x - 1

The equation of a lins is a linear equation and expressed as:

y = mx + b

m is the slope

b is the y-intercept

Determine the equation in point slope form

y - y1 = -1/m(x - x1)

y -(-2) = 3/2(x + 2)
y + 2 = 3/2(x+2)

Write in slope-intercept form

2(y+2) = 3(x+2)

2y + 4 = 3x + 6
2y = 3x - 2

y = 3/2x - 1

Hence the equation, in slope-intercept form, of the line that is perpendicular to the line y – 4 = –two-thirds(x – 6) is y = 3/2x - 1

Learn more on equation of aline here:  https://brainly.com/question/7098341

Volume = 6³ dm³

Volume = 216 dm³

Volume = 10 × 8 × 6 cm³

Volume = 480 cm³

Volume = 1/3 × 14 × 17 × 12.86 cm³

Volume = 1020.226 cm³

Volume = 3.14 ×6.5² × 5 m³

Volume = 663.325 m³

volume = 1/3 × 18.5² × 16 cm³

Volume = 1825.3 cm³

Volume = 4/3 ×3.14 × 7³ m³

Volume = 1436.026 m³

[tex]\stackrel{\textit{\Large morning rate}}{\cfrac{\stackrel{strawberries}{3}}{\underset{minutes}{4}}}~\hspace{7em}\stackrel{\textit{\Large afternoon rate}}{\cfrac{\stackrel{strawberries}{2}}{\underset{minutes}{3}}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{\underline{3}}{4}~~ - ~~\cfrac{2}{3}\implies \cfrac{(3)\underline{3}~~ - ~~(4)2}{\underset{\textit{using this LCD}}{12}}\implies \cfrac{9-8}{12}\implies \cfrac{1}{12}\qquad \impliedby \textit{their difference}[/tex]

Answer:

7 total atoms.

Step-by-step explanation:

There's nothing written for N, so we assume there is one atom. There is 4 written for H, plus the other H at the end, making 5 hydrogen atoms. There is nothing written for O, so we assume there is one atom. 1+5+1=7 total

Answer:

7

Step-by-step explanation:

BABA BOI

Hey there!

16 + 2 * 36

= 16 + 36 * 2
= 16 + 36 + 36

= 16 + 2 * 6^2

= 16 + 72

= 88

Thus, your answers could possibly be:

• 16 + 36 * 2
• 16 + 72
• 16 + 2 * 6^2

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)